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Finding the Fourth Proportional to 381.88, 574.09 and 313.91

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Solution

The fourth proportional to 381.88, 574.09 and 313.91 is: 471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.88 : 574.09 = 313.91 : x
  2. Step 2: Convert to fraction form
    381.88/574.09 = 313.91/x
  3. Step 3: Cross multiply
    381.88x = 574.09 × 313.91
  4. Step 4: Simplify right side
    381.88x = 180,211.09
  5. Step 5: Solve for x
    x = 180,211.09/381.88
  6. Step 6: Final answer
    x = 471.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.